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Finding the Fourth Proportional to 944.53, 1,415.77 and 456.91

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Solution

The fourth proportional to 944.53, 1,415.77 and 456.91 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.53 : 1,415.77 = 456.91 : x
  2. Step 2: Convert to fraction form
    944.53/1,415.77 = 456.91/x
  3. Step 3: Cross multiply
    944.53x = 1,415.77 × 456.91
  4. Step 4: Simplify right side
    944.53x = 646,879.47
  5. Step 5: Solve for x
    x = 646,879.47/944.53
  6. Step 6: Final answer
    x = 684.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.